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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6420 • PDE

Fall 1995 • Question 10

Question

Math 6420 • PDE Fall 1995 • Question 10

Using an integral representation for the \(n\)-th order Bessel function \(J_n(x)\), find the leading order asymptotic representation of \(J_n(x)\) for large positive \(x\).

Raw LaTeX

Using an integral representation for the \(n\)-th order Bessel
function \(J_n(x)\), find the leading order asymptotic representation of \(J_n(x)\) for large
positive \(x\).

Topic Tags

Adjoint Operators and Riesz Representation Cauchy Integral Formula and Integral Theorems Linear Programming and Optimization Stationary Phase and Steepest Descent